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3 years ago

Which letter is true? If given link I will report.

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

Answer: A and D are not equivalent to 3m4/m3

Step-by-step explanation: hopes this helps

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11)

Maurinko [17]

Answer:

The factorization of given expression $x^2 + 81$ is (x + 9i)(x – 9i) and option d is correct.

Solution:

Given, expression is $x^2 + 81$

We have to factor it in the complex numbers.

Let us check options to find answer.

A) (x – 9)(x – 9)

(x – 9)( x – 9) $=(x-9)^{2}=x^{2}-18 x+81$

So, this is not correct answer.

B) (x + 9)(x + 9)

$(x+9)(x+9)=(x+9)^{2}=x^{2}+18 x+81$

So, this is not correct answer.

C) (x + 9i)(x + 9i)

$(x+9 i)(x+9 i)=(x+9 i)^{2}=x^{2}+18 x i+81(-1)=x^{2}+18 x i-81$

So, this is not correct answer.

D) (x + 9i)(x - 9i)

$(x+9 i)(x-9 i)=x^{2}-(9 i)^{2}=x^{2}-(-81)=x^{2}+81$

Thus option D is correct

Hence, the factorization of given expression is (x + 9i)(x – 9i). and option d is correct.

3 0

3 years ago

A middle school took all of its 6th grade students on a field trip to see a ballet at a theatre that has 2000 seats. The student

VMariaS [17]

$\text{We need to find the percentage of students that occupied a seat}\\\text{at the theatre}\\\\\text{We know that there was a total of 700 students that attended the trip}\\\\\text{We also know that there are 2000 total seats in the theatre}\\\\\text{To find the percent of seats occupied, divide 700 by 2000}\\\\700\div2000=0.35\\\\\text{This can be translated into 35\% when you move the decimal place two times}\\\text{to the right}\\\\\boxed{35\%}$

6 0

4 years ago

Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute?

MA_775_DIABLO [31]

To find the rate, divide the number divided by the amount of minutes. So 775 divided by 12.5 which is 62.

62 steps per minute

7 0

3 years ago

Read 2 more answers

Ben works for software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Phila

Andru [333]

Answer:

Explanation:we will solve this question with help of linear programming.

Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y

And s.t.r. 2x+3y≤105, where x≥5, y≥15.

since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.

But, 0≥5 and 0≥15 are false, so their area will not cover the origin.

Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)

Z at A- 180×5+300×31.667=10,400.1

at B-180×5+300×15=1350( which is minimum.)

at C- 180×30+300×15=5,850

Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.

3 0

4 years ago

What is 10% of 400.00

oee [108]

If you want to evaluate what is 10 percent of 400, you can do this using the following few steps:

10% * 400 = 10/100 * 400 = 0.1 * 400 = 40

10% of 400 is 40.

4 0

3 years ago

Read 2 more answers